2057208384 has 224 divisors, whose sum is σ = 6827129856. Its totient is φ = 531118080.

The previous prime is 2057208383. The next prime is 2057208397. The reversal of 2057208384 is 4838027502.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (2057208383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3355662 + ... + 3356274.

Almost surely, 2^2057208384 is an apocalyptic number.

2057208384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413564928).

2057208384 is an abundant number, since it is smaller than the sum of its proper divisors (4769921472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2057208384 is a wasteful number, since it uses less digits than its factorization.

2057208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2057208384 is about 45356.4591210557. The cubic root of 2057208384 is about 1271.8213031672.

The spelling of 2057208384 in words is "two billion, fifty-seven million, two hundred eight thousand, three hundred eighty-four".